When introduced at the wrong time or place, good logic may be the worst enemy of good teaching. — George Polya Copy Share Image
A GREAT discovery solves a great problem but there is a grain of discovery in any problem. — George Polya Copy Share Image
It is better to solve one problem five different ways, than to solve five problems one way. — George Polya Copy Share Image
If there is a problem you can't solve, then there is an easier problem you can't solve: find it. — George Polya Copy Share Image
If you wish to learn swimming you have to go into the water and if you wish to become a problem solver… — George Polya Copy Share Image
It may be more important in the mathematics class how you teach than what you teach. — George Polya Copy Share Image
The teacher can seldom afford to miss the questions: What is the unknown? What are the data? What is the condition? The… — George Polya Copy Share Image
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean… — George Polya Copy Share Image
Solving problems is a practical skill like, let us say, swimming. We acquire any practical skill by imitation and practice. Trying to… — George Polya Copy Share Image
Even fairly good students, when they have obtained the solution of the problem and written down neatly the argument, shut their books… — George Polya Copy Share Image
The first and foremost duty of the high school in teaching mathematics is to emphasize methodical work in problem solving...The teacher who… — George Polya Copy Share Image
To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he… — George Polya Copy Share Image
“I started studying law, but this I could stand just for one semester. I couldn't stand more. Then I studied languages and… — George Pólya Copy Share Image
Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in… — George Polya Copy Share
A GREAT discovery solves a great problem but there is a grain of discovery in any problem. — George Polya Copy Share
Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as a whole as clearly… — George Polya Copy Share
In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the English sentence. Second, we… — George Polya Copy Share
Look around when you have got your first mushroom or made your first discovery: they grow in clusters. — George Polya Copy Share
I am too good for philosophy and not good enough for physics. Mathematics is in between. — George Polya Copy Share
Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice. — George Polya Copy Share
An idea which can be used only once is a trick. If one can use it more than once it becomes a method. — George Polya Copy Share
To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not… — George Polya Copy Share
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it… — George Polya Copy Share
The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till… — George Polya Copy Share
Hilbert once had a student in mathematics who stopped coming to his lectures, and he was finally told the young man had gone off… — George Polya Copy Share
An idea which can be used once is a trick. If it can be used more than once it becomes a method. — George Polya Copy Share
